Given that a randomly chosen card from a standard deck of 52 cards is less than 7, what is the probability it is the 5 of diamonds? Assume that aces are low cards.

1.9%
4.2%
53.8%
27.6%

Question

Given that a randomly chosen card from a standard deck of 52 cards is less than 7, what is the probability it is the 5 of diamonds? Assume that aces are low cards.

1.9%
4.2%
53.8%
27.6%

MiraAngel · Answer

I don't think it's the last two options. I'm leaning more towards 1.9%.

AngeI · Answer

The chance of pulling one card out of 52 cards for sure would not be 53.8%. Nor would it be 27.6%. You are correct with 1.9%. It is the only one that makes logical sense

MiraAngel · Answer

Great! Thank you!

Mercury · Answer

Late response, but I would like to politely disagree with the previous response.

"Given that a randomly chosen card from a standard deck of 52 cards is less than 7"
---> this is a conditional probability. the condition we are given is that the card is less than 7. this means we are not drawing out of a deck of 52, but rather, we are drawing out of the cards less than 7.

these are: ace, 2, 3, 4, 5, 6 (since the problem says aces are low). six cards, multiplied by 4 suits ---> 24 cards

therefore your probability is 1/24